exam Maths Puzzle Numerical Ability

How many times can you get $20 dollars mixing dimes and quarers only??? What are they???

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Could you show me the steps you take to solve:
The sum of two integers is thirty. Eight times the smaller integer is six more than five times the larger integer. Find the integers.
I am trying to figure the equation for 3x+4y=12 (0, ),(5, ), (3/4, ),(0, ), (8/3, )